In this paper we study vector bundles on varieties of dimension greater than one. To do this, we apply the theory of equivariant model maps developed in the paper. We prove a topological criterion for the unstability of a vector bundle on a projective surface. Using this estimate and the closedness of holomorphic forms on projective varieties we prove the inequality for the Chern classes of a surface of general type. Bibliography: 39 titles.
|Original language||English (US)|
|Number of pages||57|
|Journal||Mathematics of the USSR - Izvestija|
|State||Published - Jun 30 1979|
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